11 citations · 25 across the 8 of their papers we have counts for
7 papers · 1 filter
Mirror Symmetry, Laurent Inversion and the Classification of -Fano Threefolds
Tom Coates, Liana Heuberger, Alexander M. Kasprzyk
We describe recent progress in a program to understand the classification of three-dimensional Fano varieties with -factorial terminal singularities using mirror symmet…
Kawamata boundedness for Fano threefolds and the Graded Ring Database
Gavin Brown, Alexander Kasprzyk
We explain an effective Kawamata boundedness result for Mori-Fano 3-folds. In particular, we describe a list of 39,550 possible Hilbert series of semistable Mori-Fano 3-folds, with…
Sharp bounds on fake weighted projective spaces with canonical singularities
Gennadiy Averkov, Alexander Kasprzyk, Martin Lehmann +1
We give a sharp upper bound on the multiplicity of a fake weighted projective space with at worst canonical singularities. This is equivalent to giving a sharp upper bound on the i…
Projecting Fanos in the mirror
Alexander Kasprzyk, Ludmil Katzarkov, Victor Przyjalkowski +1
In the paper "Birational geometry via moduli spaces" by I. Cheltsov, L. Katzarkov, and V. Przyjalkowski a new structure connecting toric degenerations of smooth Fano threefolds by…
Laurent Inversion
Tom Coates, Alexander Kasprzyk, Thomas Prince
There are well-understood methods, going back to Givental and Hori--Vafa, that to a Fano toric complete intersection X associate a Laurent polynomial f that corresponds to X under…
Classifying terminal weighted projective space
Alexander Kasprzyk
We present a classification of all weighted projective spaces with at worst terminal or canonical singularities in dimension four. As a corollary we also classify all four-dimensio…